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Finding the Fourth Proportional to 43,409.40, 65,121.30 and 18,461.40

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Solution

The fourth proportional to 43,409.40, 65,121.30 and 18,461.40 is: 27,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409.40 : 65,121.30 = 18,461.40 : x
  2. Step 2: Convert to fraction form
    43,409.40/65,121.30 = 18,461.40/x
  3. Step 3: Cross multiply
    43,409.40x = 65,121.30 × 18,461.40
  4. Step 4: Simplify right side
    43,409.40x = 1,202,230,367.82
  5. Step 5: Solve for x
    x = 1,202,230,367.82/43,409.40
  6. Step 6: Final answer
    x = 27,695.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.